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Finding the Fourth Proportional to 12,249.96, 18,362.04 and 5,680.56

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Solution

The fourth proportional to 12,249.96, 18,362.04 and 5,680.56 is: 8,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249.96 : 18,362.04 = 5,680.56 : x
  2. Step 2: Convert to fraction form
    12,249.96/18,362.04 = 5,680.56/x
  3. Step 3: Cross multiply
    12,249.96x = 18,362.04 × 5,680.56
  4. Step 4: Simplify right side
    12,249.96x = 104,306,669.94
  5. Step 5: Solve for x
    x = 104,306,669.94/12,249.96
  6. Step 6: Final answer
    x = 8,514.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.